MA 314: Introduction to Algebraic Geometry

Credits: 3:0

Affine algebraic sets, Hilbert basis theorem, Hilbert Nullstellensatz, function field, plane curves, Bezout’s theorem, product, normality, morohisms, Noether normalisation, Graded rings, projective varieties, rational functions, tangent spaces, non- singularity, blowing up points, Riemann-Roch for curves. Schemes examples.

Suggested books and references:

  1. Shafarevich, I.R., Basic Algebraic Geometry 1, 2nd edition, Springer-Verlag, 1994.
  2. Smith, K., Kahanpaa, L., Kekalainen, P., Traves, W., An Invitation to Algebraic Geometry, Springer-Verlag, 2000.
  3. Reid, M., Undergraduate Algebraic Geometry, London Mathematical Society Student Texts 12, Cambridge University Press, 1988.
  4. Fulton, W., Algebraic Curves (
  5. Holme, A., A Royal Road to Algebraic Geometry, Springer,2012.

All Courses

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 04 Aug 2020